Match the following columns.
A | The centroid of the triangle formed by (2, 3, - 1), (5, 6, 3), (2, -3 ,1) is | p | (2, 2, 2) |
B | The circumcentre of the triangle formed by (1,2, 3) (2, 3, 1), (3, 1, 2) is | q | (3, 1, 4) |
C | The orthocentre of the triangle formed by (2, 1, 5), (3, 2, 3), (4, 0, 4) is | r | (1, 1, 0) |
D | The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is | s | (3, 2, 1) |
E | The incentre of the triangle formed by (0, 0, 0), (3, 0, 0), (4, 0, 4) is | t | (0, 0, 0) |
A. A B C D | (i) s p q r |
B. A B C D | (ii) p q r s |
C. A B C D | (iii) s r q r |
D. A B C D | (iv) s p t r |
A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If BAC = 90°, and ar(ABC) = 55sq. units, then the abscissa of the vertex C is :
If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, – 4), then PQ2 is equal to :
29
48
21
36
Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10 m; then the distance (in meters) of a point M on AB from the point A such that MD2 + MC2 is minimums is ___
The point dividing the join of (3, - 2, 1) and( - 2, 3 11) in the ratio 2 : 3 is
(1, 1, 4)
(1, 0, 5)
(2, 3, 5)
(0, 6, - 1)